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Finding the Third Proportional to 470,000 and 964,887

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Solution

The third proportional to 470,000 and 964,887 is: 1,980,865.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,000 : 964,887 = 964,887 : x
  2. Step 2: Convert to fraction form
    470,000/964,887 = 964,887/x
  3. Step 3: Cross multiply
    470,000x = 964,887 × 964,887
  4. Step 4: Simplify right side
    470,000x = 931,006,922,769
  5. Step 5: Solve for x
    x = 931,006,922,769/470,000
  6. Step 6: Final answer
    x = 1,980,865.79

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.